Position

**Category : **JEE Main & Advanced

Any object is situated at point O and three observers from three different places are looking at same object, then all three observers will have different observations about the position of point O and no one will be wrong. Because they are observing the object from different positions.

Observer 'A' says : Point O is 3 m away in west direction.

Observer 'B' says : Point O is 4 m away in south direction.

Observer 'C' says : Point O is 5 m away in east direction.

Therefore position of any point is completely expressed by two factors: Its distance from the observer and its direction with respect to observer.

That is why position is characterised by a vector known as position vector.

Consider a point P in xy plane and its coordinates are (x, y). Then position vector \[(\vec{r})\] of point will be \[x\hat{i}+y\hat{j}\] and if the point P is in space and its coordinates are (x, y, z) then position vector can be expressed as \[\vec{r}=x\hat{i}+y\hat{j}+z\hat{k}.\]

*play_arrow*Position*play_arrow*Rest and Motion*play_arrow*Particle or Point Mass or Point object*play_arrow*Distance and Displacement*play_arrow*Speed and Velocity*play_arrow*Acceleration*play_arrow*Position time Graph*play_arrow*Velocity-time Graph*play_arrow*Equation of Kinematics*play_arrow*Motion of Body Under Gravity (Free Fall)*play_arrow*Motion with Variable Acceleration

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